Abstract
We report on the first fully differential calculation of the next-to-next-to-leading-order (NNLO) QCD radiative corrections to the production of bottom-quark pairs at hadron colliders. The calculation is performed by using the qT subtraction formalism to handle and cancel infrared singularities in real and virtual contributions. The computation is implemented in the Matrix framework, thereby allowing us to efficiently compute arbitrary infrared-safe observables in the four-flavour scheme. We present selected predictions for bottom-quark production at the Tevatron and at the LHC at different collider energies, and we perform some comparisons with available experimental results. We find that the NNLO corrections are sizeable, typically of the order of 25–35%, and they lead to a significant reduction of the perturbative uncertainties. Therefore, their inclusion is crucial for an accurate theoretical description of this process.
Highlights
JHEP03(2021)029 standard reference for the comparison with experimental data
The IR divergences that appear at intermediate stages of the computation are handled and cancelled, analogously to refs. [51, 52], by using the qT -subtraction formalism [59], which was properly extended to deal with heavy-quark production in refs. [60, 61]
The total cross section is controlled by scales of the order of mb, while each differential distribution is characterised by a different hard-scattering scale that has to be specified
Summary
The results presented in this work are obtained by using the qT -subtraction formalism [59] to handle and cancel IR singularities. [62] we were able to carry out a new calculation of top-quark pair production at NNLO in QCD [51], completing a previous work [61] that was limited to the flavour off-diagonal production channels. Their integration in the Matrix framework allowed us to perform an efficient evaluation of single- and multi-differential distributions for stable top quarks [52]. The NNLO differential cross section for bottom-pair production, dσNbbNLO, is obtained within the qT -subtraction method according to the following main formula, dσNbbNLO = HNbbNLO ⊗ dσLbbO + dσNbbL+Ojet − dσNbbN, CLTO ,. The two-loop amplitudes are obtained via an interpolation routine, based on the numerical results presented in refs. [58, 67]
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